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s344n2d4d5 [400]
3 years ago
14

27

Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer: (assuming the first three terms are -6, -2, 2)

(a) f(n) = 4n - 10

(b) 30

Step-by-step explanation:

(So, just as a preface, I made this answer assuming the first three terms are -6, -2, and 2 since I couldn't find a provided fourth term as the problem said)

(a) In order to create an equation for an arithmetic sequence, you need to find the common difference(d) and the 0th term. You can find the common difference by finding the difference between two consecutive terms:

2 - (-2) = 4 (or (-2) - (-6) = 4), so d = 4

Now, you need to find the 0th term. To do this, you can just subtract the d from the first term, -6:

-6 - 4 = -10.

At this point, you can write the equation:

f(n) = -10 + 4n (this is the 0th term plus the common difference, 4, times the nth term)

f(n) = 4n - 10 (reorganize by value of exponents)

(b) In order to find the 10th term, you just need to plug it into the previous equation:

where n = 10, and f(n) = 4n - 10,

f(n) = 4(10) - 10 (substitute n into the equation)

f(n) = 40 - 10 (multiply the term in the parenthesis by the constant)

f(n) = 30 (subtract)

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kow [346]

Answer:

96

Step-by-step explanation:

\frac{24*64}{4*4}=96\\

or

\frac{24}{4}=6, \frac{64}{4}=16\\6*16=96

7 0
2 years ago
Give the equation of the circle centered at the origin and passing through the point (0,5)
Julli [10]

Answer:

x^{2} +y^{2}=25

Step-by-step explanation

The standard equation of a circle centered at origin is  x^{2} +y^{2} =r^{2}

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∴ radius  r=\sqrt{(0-0)^{2}+(5-0)^{2} }

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5 0
2 years ago
Which of the following is NOT a rational number?
Tatiana [17]

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D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Using distributive property create an equivalent expression to 40+4x
evablogger [386]
Hi there!

To create an expression that uses the distribution property which can be simplified into 40 + 4x, we can find a factor between 40 and 4:

Since both 40 and 4 is divisible by 4,

40 / 4 = 10
4 / 4 = 1

We can put the 4 on the outside of the parenthesis, and put the quotients inside the parenthesis. And since the expression is in addition, we should include the addition symbol as the operation inside the parenthesis. 

4(10 + x)
would be your answer. 

Hope this helps!
4 0
3 years ago
How do you do this?<br><br> I’ve been having trouble with this for the past 10 mins
xz_007 [3.2K]
Basically it's telling you what equation to use for the specific value of g(x). If x is g(2) then you would use the third equation. 2x - 5. so 2(2)-5= -1
7 0
3 years ago
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